- the
labels inside kets, such as the
common practice of
labeling energy eigenkets in
quantum mechanics through a
listing of
their quantum numbers. At its...
- {\displaystyle |a\rangle } is an
energy eigenket. Then U | a ⟩ {\displaystyle U|a\rangle } is an
energy eigenket with the same eigenvalue,
since U H | a...
-
energy eigenvector,
energy eigenstate,
energy eigenfunction, or
energy eigenket. It is very
similar to the
concept of
atomic orbital and
molecular orbital...
- For example,
suppose | ψ a ⟩ {\displaystyle |\psi _{a}\rangle } is an
eigenket (eigenvector) of the
observable A ^ {\displaystyle {\hat {A}}} , with eigenvalue...
- {\displaystyle \{|\psi _{n}\rangle \}} be a
complete set of
orthonormal eigenkets of the self-adjoint
operator A {\displaystyle A}
corresponding to the...
- In
quantum mechanics, a
translation operator is
defined as an
operator which shifts particles and
fields by a
certain amount in a
certain direction. It...
- for the
unperturbed system. It
involves expanding the
eigenvalues and
eigenkets of the
Hamiltonian H in a
perturbation series. The
degenerate eigenstates...
- ^{*}-\alpha ^{*}\beta )/2}{\hat {D}}(\alpha +\beta )} When
acting on an
eigenket, the
phase factor e ( α β ∗ − α ∗ β ) / 2 {\displaystyle e^{(\alpha \beta...
- formula. If the set { | ϕ i ⟩ } {\textstyle \{|\phi _{i}\rangle \}} are
eigenkets of a non-degenerate
observable with
eigenvalues λ i {\textstyle \lambda...
- {\displaystyle |\alpha _{i}\rangle } and a i {\displaystyle a_{i}} are
eigenkets and eigenvalues, respectively, for the
operator A, and "tr"
denotes trace...
